Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

The Art of Proof : Basic Training for Deeper Mathematics, Hardback Book

The Art of Proof : Basic Training for Deeper Mathematics Hardback

Part of the Undergraduate Texts in Mathematics series



The Art of Proof is designed for a one-semester or two-quarter course.

A typical student will have studied calculus (perhaps also linear algebra) with reasonable success.

With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground.

The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets.

Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation.

The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting.

These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.


Other Formats


Free Home Delivery

on all orders

Pick up orders

from local bookshops


Also in the Undergraduate Texts in Mathematics series  |  View all